exactly how many cubic inches of ice cream can an ice cream cone hold (within the cone) if its height is 6 inches and the radius of its base is 2.5 inches? include correct units with the solution. use "pi" in place of the pi symbol.

(1/3) pi r^2 h

(1/3) pi (6.25)(6)

12.5 pi

which is about 39.3 in^3

that's what i got. thank u :)

To find the exact number of cubic inches of ice cream that an ice cream cone can hold within the cone, we need to calculate the volume of the cone.

The volume of a cone is given by the formula:
V = (1/3) * π * r^2 * h,

where V represents the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

In this case, the given parameters are:
r = 2.5 inches,
h = 6 inches.

Substituting these values into the volume formula, we have:

V = (1/3) * π * (2.5)^2 * 6.

Calculating further:

V = (1/3) * 3.14159 * 2.5^2 * 6,
V = (1/3) * 3.14159 * 6.25 * 6,
V = (1/3) * 3.14159 * 37.5,
V ≈ 39.2699 cubic inches.

Therefore, an ice cream cone with a height of 6 inches and a base radius of 2.5 inches can hold approximately 39.2699 cubic inches of ice cream within the cone.